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ロバストMann-Whitney U検定×ロバスト独立標本t検定×
分野統計学統計学
系統Hypothesis testHypothesis test
提唱年1947 / 20031974–1990s
提唱者Rand Wilcox (robust extensions); original test by Mann & Whitney (1947)Rand R. Wilcox; Karen K. Yuen (trimmed-mean form)
種類Robust nonparametric two-group comparisonRobust parametric mean comparison
原典Wilcox, R. R. (2005). Introduction to Robust Estimation and Hypothesis Testing (2nd ed.). Academic Press. ISBN: 978-0127515427Wilcox, R. R. (2012). Introduction to Robust Estimation and Hypothesis Testing (3rd ed.). Academic Press. ISBN: 978-0123869838
別名robust Wilcoxon rank-sum test, robust two-sample rank test, outlier-resistant Mann-Whitney test, robust nonparametric two-group comparisonYuen's t-test, trimmed-mean t-test, Winsorized t-test, robust two-sample test
関連12
概要The Robust Mann-Whitney U test is a nonparametric two-group comparison that combines the rank-based logic of the classic Mann-Whitney U test with modern robust techniques — such as outlier screening, trimmed means, or robust variance estimation — to produce reliable inferences when data contain extreme values, heavy-tailed distributions, or other violations that compromise the standard test.The robust independent samples t-test compares the central tendency of two independent groups using trimmed means and Winsorized variances, making it substantially less sensitive to outliers and non-normality than the classical Student or Welch t-test. The most widely used form is Yuen's test, which also accommodates unequal variances across groups.
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ScholarGate手法を比較: Robust Mann-Whitney U test · Robust independent samples t-test. 2026-06-18に以下より取得 https://scholargate.app/ja/compare